Geodesic
Cauchy's integral theorem and classical reciprocity law
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 2, pp. 73-82 Cet article a éte moissonné depuis la source Math-Net.Ru

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The present paper gives explicit formulas for the local norm residue symbol and the product of power residue symbols. Using these formulas, a visible analogy can be made between the reciprocity law in the field of algebraic numbers and Cauchy's integral theorem from complex analysis.
Keywords: reciprocity law, Schnirelman integral.
Mots-clés : norm residue symbol 
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S. V. Vostokov; M. A. Ivanov. Cauchy's integral theorem and classical reciprocity law. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 2, pp. 73-82. http://geodesic.mathdoc.fr/item/UZKU_2012_154_2_a6/

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